The hamiltonian reduction of the BRST complex and N=2 SUSY
Abstract
We study the nonunitary representations of N=2 Super Virasoro algebra for the rational central charges c<3. The resolutions for the irreducible representations of N=2 SVir in terms of the "2d gravity modules" are obtained and their characters are computed. The correspondence between the N=2 nonunitary "minimal" models and the Virasoro minimal models coupled to 2d gravity is shown at the level of states. We also define the hamiltonian reduction of the BRST complex of sl(N)/sl(N) coset to the BRST complex of the Wgravity coupled to the W matter. The case of sl(2) is considered explicitly. It leads to the presentation of N=2 Super Virasoro algebra by the Lie algebra cohomology. Finally, we reveal the mechanism of the correspondence between sl(2)/sl(2)$ coset and 2d gravity.
 Publication:

arXiv eprints
 Pub Date:
 April 1993
 DOI:
 10.48550/arXiv.hepth/9304049
 arXiv:
 arXiv:hepth/9304049
 Bibcode:
 1993hep.th....4049S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pages, 6 pictures available on request